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Finding the Fourth Proportional to 7,571.64, 10,448.78 and 4,214.38

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Solution

The fourth proportional to 7,571.64, 10,448.78 and 4,214.38 is: 5,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.64 : 10,448.78 = 4,214.38 : x
  2. Step 2: Convert to fraction form
    7,571.64/10,448.78 = 4,214.38/x
  3. Step 3: Cross multiply
    7,571.64x = 10,448.78 × 4,214.38
  4. Step 4: Simplify right side
    7,571.64x = 44,035,129.46
  5. Step 5: Solve for x
    x = 44,035,129.46/7,571.64
  6. Step 6: Final answer
    x = 5,815.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.